Pith Number

pith:GFIKH2B6

pith:2012:GFIKH2B6J5M37XPCILPAA5KJAZ

not attested not anchored not stored refs pending

The Spread of a Catalytic Branching Random Walk

Philippe Carmona (LMJL), Yueyun Hu (LAGA)

arxiv:1202.0637 v2 · 2012-02-03 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFIKH2B6J5M37XPCILPAA5KJAZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:44:36.087409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3150a3e83e4f59bfdde242de007549065f2d65e1a13320712bc39e24e99b266d

Aliases

arxiv: 1202.0637 · arxiv_version: 1202.0637v2 · doi: 10.48550/arxiv.1202.0637 · pith_short_12: GFIKH2B6J5M3 · pith_short_16: GFIKH2B6J5M37XPC · pith_short_8: GFIKH2B6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GFIKH2B6J5M37XPCILPAA5KJAZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3150a3e83e4f59bfdde242de007549065f2d65e1a13320712bc39e24e99b266d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0180841f95e872e72b99bbd07e163181ac89da7c64dc1df92af26a4787b373aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-03T09:27:50Z",
    "title_canon_sha256": "1db18c45a659e3d926a9f1cf1fa1579e177cbf128201c7a6e50dc8e5a66b1fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0637",
    "kind": "arxiv",
    "version": 2
  }
}